Answer:
9
Step-by-step explanation:
because 14-9=5
or 5+9=14
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Answer:
1.25 ft/sec
Step-by-step explanation: 1 hr
Note that 1 hr = 3600 sec. Thus, multiplying 4500 ft/hr by ----------------
3600 sec
4500 ft
gives us the equivalent expression ------------------ = 1.25 ft/sec
3600 sec
Rewriting the equation as a proportion, we have
(1/2 * 2x/2x) + (1/2x * 2/2) = (x^2 - 7x + 10)/4x
(2x/4x) + (2/4x) = (x^2 - 7x + 10)/4x
Multiplying both sides of the equation by 4x to clear the denominators:
2x + 2 = x^2 - 7x + 10
We now have a new equation that is equivalent to the original equation:
x^2 - 9x + 8 = 0
We can also write the equation into its factored form:
(x - 8)(x - 1) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x - 8) or (x - 1) zero will make their product zero.
x - 8 = 0 => x = 8
x - 1 = 0 => x = 1
Therefore, our solutions are x = 8 and x = 1.
Answer: The shape of the points in the scatter plot resemble an increasing exponential equation.
The set of data shown in the scatter plot best models an exponential equation. In this case the points are increasing. However, it is not at a linear (constant) rate. The points keep going up faster as the x-value increases.